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- aggregation classification "A1".
- aggregation creator B227580.
- aggregation creator B227581.
- aggregation creator person.
- aggregation date "2010".
- aggregation format "application/pdf".
- aggregation hasFormat 1084573.bibtex.
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- aggregation isPartOf urn:issn:0025-5874.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Basics of a generalized Wiman-Valiron theory for monogenic Taylor series of finite convergence radius".
- aggregation abstract "In this paper, we develop the basic concepts for a generalized Wiman-Valiron theory for Clifford algebra valued functions that satisfy inside an n + 1-dimensional ball the higher dimensional Cauchy-Riemann system . These functions are called monogenic or Clifford holomorphic inside the ball. We introduce growth orders, the maximum term and a generalization of the central index for monogenic Taylor series of finite convergence radius. Our goal is to establish explicit relations between these entities in order to estimate the asymptotic growth behavior of a monogenic function in a ball in terms of its Taylor coefficients. Furthermore, we exhibit a relation between the growth order of such a function f and the growth order of its partial derivatives.".
- aggregation authorList BK497194.
- aggregation endPage "681".
- aggregation issue "3".
- aggregation startPage "665".
- aggregation volume "266".
- aggregation aggregates 1085008.
- aggregation aggregates 1085430.
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